Atkin-Lehner |
2+ 7- 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116522c |
Isogeny class |
Conductor |
116522 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
293376 |
Modular degree for the optimal curve |
Δ |
-6842201669632 = -1 · 224 · 73 · 29 · 41 |
Discriminant |
Eigenvalues |
2+ 0 4 7- -1 -1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-800,-125952] |
[a1,a2,a3,a4,a6] |
j |
-165198036303/19948109824 |
j-invariant |
L |
1.3274397223542 |
L(r)(E,1)/r! |
Ω |
0.33185978037261 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116522f1 |
Quadratic twists by: -7 |